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Finding the Fourth Proportional to 1,530.12, 2,295.53 and 556.22

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Solution

The fourth proportional to 1,530.12, 2,295.53 and 556.22 is: 834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.12 : 2,295.53 = 556.22 : x
  2. Step 2: Convert to fraction form
    1,530.12/2,295.53 = 556.22/x
  3. Step 3: Cross multiply
    1,530.12x = 2,295.53 × 556.22
  4. Step 4: Simplify right side
    1,530.12x = 1,276,805.44
  5. Step 5: Solve for x
    x = 1,276,805.44/1,530.12
  6. Step 6: Final answer
    x = 834.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.